mazamoha2004
Answered

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3. Find the height of rectangle with area (2x^2-9x+9) ft^2 and width (2x-3) ft

Sagot :

jacobEwing

Answer:

The height of the area is (x - 3) ft.

Step-by-step explanation:

You can do this a few ways.  You could use long division to divide the area by the width, or you could just factor the area, which is guaranteed to have the width as a factor, leaving you with the height.

Let's go with factoring, as that's probably what this question is intended as:

[tex]= \frac{2x^2 - 9x + 9}{2x - 3} \\\\= \frac{2x^2 - 6x - 3x + 9}{2x - 3} \\\\= \frac{2x(x - 3) - 3(x - 3)}{2x - 3} \\\\= \frac{(2x - 3)(x - 3)}{2x - 3} \\\\= x - 3[/tex]

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